A cylindrical tank with a cross-sectional area of 100cm2 is, Mathematics

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A cylindrical tank with a cross-sectional area of 100cm2 is

A cylindrical tank with a cross-sectional area of 100cm^2 is filled to a depth of 100 cm with water. At t=0, a drain in the bottom of the tank with an area of 10cm^2 is opened allowing water to flow out of the tank. The depth of water in the tank at time t\geq 0is

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a.Check that d (0)=100, as specified.

b.What is an appropriate domain for d?

c.At what time is the tank first empty?

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